Multiplicative Monotone Convolution

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We show that the monotonic independence introduced by Muraki can also be used to define a multiplicative convolution. We also find a method for the calculation of this convolution based on an appropriate form of the Cauchy transform. We discuss infinite divisibility in the multiplicative monotonic context as well.
18 pages

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Operator Algebras, Probability, 46L53

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http://salesiana.dossiersoluciones.com/handle/123456789/71660

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0406488
 http://arxiv.org/abs/math/0406488

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arXiv